AnswersGeometry - Semester 1 PathwaysIncenter and Circumcenter

Triangle Congruence: SAS Answers

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1
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Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.

A
a reflection only
B
a rotation only
C
a rotation and a reflection
D
a translation and a reflection
E
a translation only
3

DCE and DBF✔ DFE and DEFFDC and EDB

A
DCE and DBF
B
✔ DFE and DEF
C
FDC and EDB
4

✔ DFB and DECECD and DBCFDC and EDB

A
✔ DFB and DEC
B
ECD and DBC
C
FDC and EDB
111584

How can ΔABC be mapped to ΔXYZ?

Answers:
First, translate vertex A to vertex .:X
Next, ΔABC to align the sides and angles.:rotate
111585

translatereflect✔ rotate

A
translate
B
reflect
C
✔ rotate
111586

Given: C is the midpoint of BD.

Answers:
♣::definition of midpoint
♦::angle BCA is congruent to angle DCA
111587

angles BCA and DCA form a linear pair✔ angle BCA is congruent to angle DCAsegment AC is perpendicular to segment BD

A
angles BCA and DCA form a linear pair
B
✔ angle BCA is congruent to angle DCA
C
segment AC is perpendicular to segment BD

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